IFLP   13074
INSTITUTO DE FISICA LA PLATA
Unidad Ejecutora - UE
artículos
Título:
Finite-temperature relativistic Landau problem and the relativistic quantum Hall effect
Autor/es:
C.G. BENEVENTANO AND E.M. SANTANGELO
Revista:
JOURNAL OF PHYSICS. A - MATHEMATICAL AND GENERAL
Editorial:
Institute of Physics Publishing
Referencias:
Lugar: London; Año: 2006 vol. 39 p. 7457 - 7469
ISSN:
0305-4470
Resumen:
This paper presents a study of the free energy and particle density of the relativistic Landau problem, and their relevance to the quantum Hall effect. We study first the zero temperature Casimir energy and fermion number for Dirac fields in a 2+1-dimensional Minkowski space-time, in the presence of a uniform magnetic field perpendicular to the spatial manifold. Then, we go to the finite-temperature problem, with a chemical potential, introduced as a uniform zero component of the gauge potential. By performing a Lorentz boost, we obtain Hall's conductivity in the case of crossed electric and magnetic fields.